Problem #27
Each of the symbols shown above represents exactly one of the digits
0,1,...,9.
In the tableau shown, if the symbols inside the square are considered as
two 2-digit numbers, then the symbols below the line represent their sum.
In other words:
Moreover, this property should still hold when the tableau is rotated
90 degrees, 180 degrees or 270 degrees. For example, after rotating
90 degrees clockwise we would obtain:
Find the values of the symbols.
SOURCE: Keith Austin (New Scientist)